We present the results of the investigation of magnetic properties of the ${\mathrm{Er}}_2{\mathrm{Ti}}_{2-x}{\mathrm{Sn}}_x{\mathrm{O}}_7$ series. For small doping values, the ordering temperature decreases linearly with $x$, while the moment configuration remains the same as in the $x=0$ parent compound. Around $x=1.7$ doping level, we observe a change in the behavior, where the ordering temperature starts to increase and new magnetic Bragg peaks appear. For the first time, we present evidence of a long-range order (LRO) in ${\mathrm{Er}}_2{\mathrm{Sn}}_2{\mathrm{O}}_7$ ($x=2.0$) below $T_N=130$ mK. It is revealed that the moment configuration corresponds to a Palmer-Chalker type with a value of the magnetic moment significantly renormalized compared to $x=0$. We discuss our results in the framework of a possible quantum phase transition occurring close to $x=1.7$.

中文翻译：

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Er2Ti2-xSnxO7中的掺杂诱导量子交叉

我们提出了研究磁性能的结果 ${尔}_{\mathrm{2个}}{钛}_{\mathrm{2个}-X}{锡}_X{\mathrm{Ø}}_7$系列。对于较小的掺杂值，订购温度随温度线性降低。$X$，此时配置与 $X=0$母体化合物。大约$X=1.7$掺杂水平，我们观察到行为的变化，其中订购温度开始增加，并且出现了新的磁性布拉格峰。首次，我们提出了长期定单（LRO）的证据${尔}_{\mathrm{2个}}{锡}_{\mathrm{2个}}{\mathrm{Ø}}_7$ （$X=2.0$） 以下 ${Ť}_{ñ}=130$mK。结果表明，力矩配置对应于Palmer-Chalker类型，与$X=0$。我们在可能发生的量子相变的框架内讨论我们的结果，$X=1.7$。